112339129867272 has 384 divisors, whose sum is σ = 399776981760000. Its totient is φ = 27609648491520.

The previous prime is 112339129867231. The next prime is 112339129867277. The reversal of 112339129867272 is 272768921933211.

It is a happy number.

112339129867272 is a `hidden beast` number, since 1 + 1 + 2 + 339 + 1 + 29 + 8 + 6 + 7 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112339129867277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86043604 + ... + 87339452.

It is an arithmetic number, because the mean of its divisors is an integer number (1041085890000).

Almost surely, 2^{112339129867272} is an apocalyptic number.

112339129867272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112339129867272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199888490880000).

112339129867272 is an abundant number, since it is smaller than the sum of its proper divisors (287437851892728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112339129867272 is a wasteful number, since it uses less digits than its factorization.

112339129867272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296721 (or 1296714 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 112339129867272 in words is "one hundred twelve trillion, three hundred thirty-nine billion, one hundred twenty-nine million, eight hundred sixty-seven thousand, two hundred seventy-two".